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Finding the Fourth Proportional to 14,758.40, 20,392.53 and 11,798.66

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Solution

The fourth proportional to 14,758.40, 20,392.53 and 11,798.66 is: 16,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758.40 : 20,392.53 = 11,798.66 : x
  2. Step 2: Convert to fraction form
    14,758.40/20,392.53 = 11,798.66/x
  3. Step 3: Cross multiply
    14,758.40x = 20,392.53 × 11,798.66
  4. Step 4: Simplify right side
    14,758.40x = 240,604,528.01
  5. Step 5: Solve for x
    x = 240,604,528.01/14,758.40
  6. Step 6: Final answer
    x = 16,302.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.